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Finding the Fourth Proportional to 298,137.84, 447,206.76 and 204,359.28

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Solution

The fourth proportional to 298,137.84, 447,206.76 and 204,359.28 is: 306,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,137.84 : 447,206.76 = 204,359.28 : x
  2. Step 2: Convert to fraction form
    298,137.84/447,206.76 = 204,359.28/x
  3. Step 3: Cross multiply
    298,137.84x = 447,206.76 × 204,359.28
  4. Step 4: Simplify right side
    298,137.84x = 91,390,851,484.73
  5. Step 5: Solve for x
    x = 91,390,851,484.73/298,137.84
  6. Step 6: Final answer
    x = 306,538.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.